126987179267520 has 2688 divisors, whose sum is σ = 568713394529280. Its totient is φ = 26495472107520.

The previous prime is 126987179267519. The next prime is 126987179267549. The reversal of 126987179267520 is 25762971789621.

126987179267520 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 8 + 7 + 1 + 7 + 92 + 6 + 7 + 520 = 666.

It is a super-2 number, since 2×126987179267520² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20604763959 + ... + 20604770121.

It is an arithmetic number, because the mean of its divisors is an integer number (211574923560).

Almost surely, 2^{126987179267520} is an apocalyptic number.

126987179267520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126987179267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356697264640).

126987179267520 is an abundant number, since it is smaller than the sum of its proper divisors (441726215261760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126987179267520 is a wasteful number, since it uses less digits than its factorization.

126987179267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 126987179267520 in words is "one hundred twenty-six trillion, nine hundred eighty-seven billion, one hundred seventy-nine million, two hundred sixty-seven thousand, five hundred twenty".